ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

• A = B A
• B = C B
• A≠ C C
• A ≠ B D

The set of complex numbers forms a group under the binary operation of

• Addition A
• none of these B
• Division C
• Subtraction D

If A and B are two sets then any subset R of B x A is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

• A A
• B B
• U C
• None of these D

• A A
• B B
• A'B' C
• B'A D

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

Which symbolic notation represent unary operation ?

• - A
• ∨ B
• ∧ C
• ⇔ D

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

• 2,2,2 A
• 3,3,3 B
• 2,2,4 C
• 2,3,4 D

If n(A) = n then n(P(A)) is

• 2n A
• n² B
• n/2 C
• 2ⁿ D

{1, 2, 3} is _____

• an infinite set A
• A finite set B
• A singleton set C
• Universal set D

{x : xε Z and x < 1} is

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

• A A
• A' B
• U C
• A A' D

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

The sets {1, 2, 4} and {4, 6, 8, 10} are

• Equal sets A
• Equivalent sets B
• Disjoint sets C
• Over lapping sets D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  D

• An empty set A
• Universal set B
• A singleton set C
• None of these D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset C
• None of these D

The set Q

• Forms a group under addition A
• Does not form a group B
• Contains no additive indentity C
• Contains no additive inverse D

If A and B are two sets then intersection of A and B is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If A = {2m/m³= 8 , m€ Z} then A =

• {1,8,27} A
• {4} B
• (2,4,6} C
• {2,16,54} D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• +-1 C
• 0 D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

The set of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D